Relevant bibliographies by topics / Fixed-matrix

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Fixed-matrix'

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Published: 28 June 2021
Last updated: 9 February 2022

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Journal articles on the topic "Fixed-matrix"

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Marcos, Fernando, and Edgar Pereira. "A fixed point method to compute solvents of matrix polynomials." Mathematica Bohemica 135, no. 4 (2010): 355–62. http://dx.doi.org/10.21136/mb.2010.140826.

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Belton, Alexander, Dominique Guillot, Apoorva Khare, and Mihai Putinar. "Matrix positivity preservers in fixed dimension." Comptes Rendus Mathematique 354, no. 2 (February 2016): 143–48. http://dx.doi.org/10.1016/j.crma.2015.11.006.

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Kang, Ming-chang. "Fixed fields of triangular matrix groups." Journal of Algebra 302, no. 2 (August 2006): 845–47. http://dx.doi.org/10.1016/j.jalgebra.2006.03.037.

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Livaditis, Gus J. "The matrix impression system for fixed prosthodontics." Journal of Prosthetic Dentistry 79, no. 2 (February 1998): 208–16. http://dx.doi.org/10.1016/s0022-3913(98)70217-3.

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Baragaña, Itziar, and Alicia Roca. "Fixed rank perturbations of regular matrix pencils." Linear Algebra and its Applications 589 (March 2020): 201–21. http://dx.doi.org/10.1016/j.laa.2019.12.022.

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Belton, Alexander, Dominique Guillot, Apoorva Khare, and Mihai Putinar. "Matrix positivity preservers in fixed dimension. I." Advances in Mathematics 298 (August 2016): 325–68. http://dx.doi.org/10.1016/j.aim.2016.04.016.

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Dmytryshyn, Andrii, and Froilán M. Dopico. "Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade." Linear Algebra and its Applications 536 (January 2018): 1–18. http://dx.doi.org/10.1016/j.laa.2017.09.006.

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Shanta, S., S. N. Kaul, V. Jayshree, K. K. Singh, and A. Juwarkar. "Studies related to support matrix for the fixed film fixed bed reactor." Journal of Environmental Science and Health . Part A: Environmental Science and Engineering and Toxicology 29, no. 1 (January 1994): 149–70. http://dx.doi.org/10.1080/10934529409376027.

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Filinov, V. S. "Analytical contradictions of the fixed-node density matrix." High Temperature 52, no. 5 (September 2014): 615–20. http://dx.doi.org/10.1134/s0018151x14040105.

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Krishnamoorthy, T. M., S. N. Joshi, G. R. Doshi, and R. N. Nair. "Desorption Kinetics of Radionuclides Fixed in Cement Matrix." Nuclear Technology 104, no. 3 (December 1993): 351–57. http://dx.doi.org/10.13182/nt93-a34896.

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Dissertations / Theses on the topic "Fixed-matrix"

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Peacock, Matthew James McKenzie. "Random Matrix Theory Analysis of Fixed and Adaptive Linear Receivers." University of Sydney, 2006. http://hdl.handle.net/2123/985.

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Doctor of Philosophy (PhD)
This thesis considers transmission techniques for current and future wireless and mobile communications systems. Many of the results are quite general, however there is a particular focus on code-division multiple-access (CDMA) and multi-input multi-output (MIMO) systems. The thesis provides analytical techniques and results for finding key performance metrics such as signal-to-interference and noise power ratios (SINR) and capacity. This thesis considers a large-system analysis of a general linear matrix-vector communications channel, in order to determine the asymptotic performance of linear fixed and adaptive receivers. Unlike many previous large-system analyses, these results cannot be derived directly from results in the literature. This thesis considers a first-principles analytical approach. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver, and also uses a common approach for both random i.i.d. and random orthogonal precoding. The approach is also used to derive the distribution of sums and products of free random matrices. Expressions for the asymptotic SINR of the MMSE receiver are derived, along with the transient and steady-state SINR of the ALS receiver, trained using either i.i.d. data sequences or orthogonal training sequences. The results are in terms of key system parameters, and allow for arbitrary distributions of the power of each of the data streams and the eigenvalues of the channel correlation matrix. In the case of the ALS receiver, we allow a diagonal loading constant and an arbitrary data windowing function. For i.i.d. training sequences and no diagonal loading, we give a fundamental relationship between the transient/steady-state SINR of the ALS and the MMSE receivers. We demonstrate that for a particular ratio of receive to transmit dimensions and window shape, all channels which have the same MMSE SINR have an identical transient ALS SINR response. We demonstrate several applications of the results, including an optimization of information throughput with respect to training sequence length in coded block transmission.
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Ko, Lok Shun. "Matrix fixed charge density modulates exudate concentration during cartilage compression." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=117081.

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Streaming potentials arise from the presence of negative fixed charges in cartilage extracellular matrix glycosaminoglycans. Arthroscopic assessment of these potentials can potentially detect localized surface lesions and provide quantitative diagnostic information. Electrolyte filtration is also a phenomenon arising from glycosaminoglycans. Commonly assumed negligible despite a lack of experimental validation, it can be important for design and interpretation of streaming potential measurements and choice of modeling assumptions. The objective of this thesis was therefore to quantify electrolyte filtration and estimate its effect on streaming potential measurements. Chloride ion concentration in exudate of compressed cartilage was measured and explant GAG content was colorimetrically assayed. Pilot studies indicated that an appropriate strain rate for experiments was 8x10^(-3) s^(-1) in order to eliminate concerns of exudate evaporation and explant damage (at low and high strain rates, respectively). Exudate concentration of explants equilibrated in 1x PBS was significantly (p<0.05) lower than bath at strains of 37.5, 50 and 62.5%, with clear dependence on magnitude. Exudate concentration was also significantly lower than that of the bath when 50% strain was applied after equilibration in 0.5, 1 and 2x PBS while the relative difference seemed to increase with decreasing bath concentration (p=0.065 between 0.5 and 2x PBS). Decreasing exudate concentration correlated negatively with increasing post-compression GAG concentration, while no difference between exudate concentration and bath concentration was ever observed for compression of uncharged agarose gel controls. Findings show that exudate from compressed cartilage is dilute relative to bath due to the presence of matrix fixed charges. This difference leads to the generation of extraneous diffusion potentials during streaming potential measurements, particularly under conditions of low strain rates and high strains.
Le potentiel d'écoulement est due à la présence de charges fixes négatives sur les glycosaminoglycanes de la matrice extracellulaire du cartilage. Son évaluation arthroscopique peut potentiellement détecter les lésions localisées et fournir de l'information diagnostique quantitatif. La filtration d'électrolyte est également un phénomène découlant des glycosaminoglycanes. Généralement supposé négligeable malgré un manque de validation expérimentale, il peut être important pour la conception et l'interprétation des measurements du potentiel d'écoulement et pour le choix des suppositions de modélisation. L'objectif de cette thèse est donc de quantifier le phénomène de filtration d'électrolyte et d'estimer son effet sur les mesures de potentiel d'écoulement. La concentration de chlorure dans l'exsudat de cartilage comprimé a été mesurée et le contenu de GAG a été colorimétriquement dosé. Des études pilotes ont indiqué qu'une vitesse de déformation de 8x10^(-3) s^(-1) était appropriée afin d'éliminer les préoccupations d'évaporation d'exsudat ainsi que du dommage à l'explant (à haute et basse vitesses, respectivement). La concentration d'exsudat des explants équilibrés dans 1x PBS et soumis à une deformation de 37,5, 50 et 62,5% était significativement (p<0.05) inférieure à celle du bain, avec claire dépendance sur la magnitude de déformation. Elle était également significativement inférieure lorsqu'une deformation de 50% a été appliquée après l'équilibrage en 0,5, 1 et 2x PBS. La différence relative avec le bain semblait augmenter avec la diminution de la concentration de celui-ci (p=0,065 entre 0,5 et 2 PBS). La baisse de concentration de l'exsudat a corrélé négativement avec le contenu de glycosaminoglycanes post-compression, alors qu'aucune différence n'a jamais été détectée dans l'exsudat des explants d'agarose. Nos résultats démontrent que la concentration d'exsudat de cartilage comprimé est dilué par rapport au bain en raison de la présence des charges fixes. Cette différence mène à la génération de potentiels de diffusion durant la mesure du potentiel d'écoulement, surtout sous les conditions de haute déformation et de faible vitesse de deformation.
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Garcia, Ignacio de Mateo. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16478.

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Klassische Methoden für die direkte Berechnung von Hopf Punkten und andere Singularitaten basieren auf der Auswertung und Faktorisierung der Jakobimatrix. Dieses stellt ein Hindernis dar, wenn die Dimensionen des zugrundeliegenden Problems gross genug ist, was oft bei Partiellen Diferentialgleichungen der Fall ist. Die betrachteten Systeme haben die allgemeine Darstellung f ( x(t), α) für t grösser als 0, wobei x die Zustandsvariable, α ein beliebiger Parameter ist und f glatt in Bezug auf x und α ist. In der vorliegenden Arbeit wird ein Matrixfreies Schema entwicklet und untersucht, dass ausschliesslich aus Produkten aus Jakobimatrizen und Vektoren besteht, zusammen mit der Auswertung anderer Ableitungsvektoren erster und zweiter Ordnung. Hiermit wird der Grenzwert des Parameters α, der zuständig ist für das Verlieren der Stabilität des Systems, am Hopfpunkt bestimmt. In dieser Arbeit wird ein Gleichungssystem zur iterativen Berechnung des Hopfpunktes aufgestellt. Das System wird mit einer skalaren Testfunktion φ, die aus einer Projektion des kritischen Eigenraums bestimmt ist, ergänzt. Da das System f aus einer räumlichen Diskretisierung eines Systems Partieller Differentialgleichungen entstanden ist, wird auch in dieser Arbeit die Berechung des Fehlers, der bei der Diskretisierung unvermeidbar ist, dargestellt und untersucht. Zur Bestimmung der Hopf-Bedingungen wird ein einzelner Parameter gesteuert. Dieser Parameter wird unabhängig oder zusammen mit dem Zustandsvektor in einem gedämpften Iterationsschritt neu berechnet. Der entworfene Algorithmus wird für das FitzHugh-Nagumo Model erprobt. In der vorliegenden Arbeit wird gezeigt, wie für einen kritischen Strom, das Membranpotential eine fortschreitende Welle darstellt.
Classical methods for the direct computation of Hopf bifurcation points and other singularities rely on the evaluation and factorization of Jacobian matrices. In view of large scale problems arising from PDE discretization systems of the form f( x (t), α ), for t bigger than 0, where x are the state variables, α are certain parameters and f is smooth with respect to x and α, a matrix-free scheme is developed based exclusively on Jacobian-vector products and other first and second derivative vectors to obtain the critical parameter α causing the loss of stability at the Hopf point. In the present work, a system of equations is defined to locate Hopf points, iteratively, extending the system equations with a scalar test function φ, based on a projection of the eigenspaces. Since the system f arises from a spatial discretization of an original set of PDEs, an error correction considering the different discretization procedures is presented. To satisfy the Hopf conditions a single parameter is adjusted independently or simultaneously with the state vector in a deflated iteration step, reaching herewith both: locating the critical parameter and accelerating the convergence rate of the system. As a practical experiment, the algorithm is presented for the Hopf point of a brain cell represented by the FitzHugh-Nagumo model. It will be shown how for a critical current, the membrane potential will present a travelling wave typical of an oscillatory behaviour.
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Dhanani, S. "Application of a social accounting matrix (SAM) fixed-price multiplier model to agricultural sector analysis in Pakistan." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382509.

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Hrbáček, Jiří. "Experimentální podpora vývoje specifického integrovaného zařízení." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-442834.

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Regenerative heat exchangers are used in a wide range of industries and in the technical equipment of buildings. These heat exchangers play an important role in saving thermal energy and removing volatile organic compounds from flue gases. The theoretical part of the work deals with the division of regenerative exchangers into rotary and switching exchangers and the possibilities of their use. These types of heat exchangers are used in many applications, e.g. as a heat exchanger using waste heat to preheat the process gas (regeneration layer), or as catalysts to accelerate the reaction required to remove volatile organic compounds (catalytic layer), or as integrated equipment where both the regeneration layer and the catalytic layer. The aim of the diploma thesis is experimental support in the development of a computer program for the design of a specific integrated device. The program allows the calculation of the regeneration and catalytic bed, or both beds simultaneously, i.e. integrated equipment. The diploma thesis deals with the support of a mathematical model for the calculation of the regeneration bed. Pressure loss and heat transfer play an important role in the selection and subsequent calculation of a suitable bed. To calculate them, it is possible to find more available computational relationships that differ significantly in their accuracy. It is therefore necessary to select the most suitable ones for the computational model. The practical part of the work then deals with research, analysis, and assessment of the suitability of methods used to calculate pressure losses based on a comparison with the values measured on experimental equipment. Subsequently, the work deals with computational methods for determining the heat transfer coefficient of the packed bed. A significant part of the practical part deals with the modification of the experimental equipment for the verification of computational relations for the determination of heat transfer with measured data.
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Ferrari, Peron Costa Priscila [Verfasser]. "Evaluation of clinical indices, microbiological and matrix metalloproteinase-8 levels in subgingival biofilm of patients with fixed appliance, before and during orthodontic treatment / Priscila Ferrari Peron Costa." Mainz : Universitätsbibliothek Mainz, 2020. http://d-nb.info/1213271452/34.

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Mateo, Garcia Ignacio de [Verfasser], Andreas [Akademischer Betreuer] Griewank, Nicolas R. [Akademischer Betreuer] Gauger, and Willy J. F. [Akademischer Betreuer] Govaerts. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations / Ignacio de Mateo Garcia. Gutachter: Andreas Griewank ; Nicolas R. Gauger ; Willy J. F. Govaerts." Berlin : Humboldt Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://d-nb.info/1020871148/34.

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Lydia, Emílio Jorge. "Um método de matriz resposta com esquema iterativo de inversão parcial por região para problemas unidimensionais de transporte de nêutrons monoenergéticos na formulação de ordenadas discretas." Universidade do Estado do Rio de Janeiro, 2011. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=3208.

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Um método de matriz resposta (RM) é descrito para gerar soluções numéricas livres de erros de truncamento espacial para problemas de transporte de nêutrons monoenergéticos e com fonte fixa, em geometria unidimensional na formulação de ordenadas discretas (SN). O método RM com esquema iterativo de inversão parcial por região (RBI) converge valores numéricos para os fluxos angulares nas fronteiras das regiões que coincidem com os valores da solução analítica das equações SN, afora os erros de arredondamento da aritmética finita computacional. Desenvolvemos um esquema numérico de reconstrução espacial, que fornece a saída para os fluxos escalares de nêutrons em qualquer ponto do domínio definido pelo usuário, com um passo de avanço também escolhido pelo usuário. Resultados numéricos são apresentados para ilustrar a precisão do presente método em cálculos de malha grossa.
Presented here is a response matrix (RM) method, which solves numerically fixedsource one-speed slab-geometry neutron transport problems in the discrete ordinates (SN) formulation. The numerical solutions are completely free from spatial truncation errors. Therefore, the RM method with the RBI iterative scheme converges numerical values for the region-edge angular fluxes, which coincide with the numerical values generated from the analytical solution, apart from computational finite arithmetic considerations. A spatial reconstruction scheme has also been developed to yield the detailed profile of the scalar flux using a fixed step defined by the code user. Numerical results are given to illustrate the offered methods accuracy.
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Sarracini, Junior Fernando. "Sintese de controladores H 'Infinito' de ordem reduzida com aplicação no controle ativo de estruturas flexiveis." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263105.

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Orientador: Alberto Luiz Serpa
Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica
Made available in DSpace on 2018-08-06T08:29:26Z (GMT). No. of bitstreams: 1 SarraciniJunior_Fernando_M.pdf: 6793847 bytes, checksum: effab2db853f18298e45c0a677c2ee50 (MD5) Previous issue date: 2006
Resumo: A implementação de controladores de ordem reduzida (fixa) demanda um menor esforço de processamento e consequentemente recursos de hardware menos sofisticados em relação à implementação de controladores de ordem completa. Este trabalho mostra que a implementação prática de controladores H 00 de ordem fixa voltados para o controle de estruturas flexíveis é factível. A obtenção de tais controladores é um problema considerado difícil por ser nãoconvexo. Para contornar as dificuldades numéricas de obtenção dos controladores de ordem fixa, uma combinação do método Lagrangiano Aumentado com Desigualdades Matriciais Lineares (LMls) é utilizada. Uma estrutura de viga com engaste em uma de suas extremidades é modelada através do método de Elementos Finitos. Controladores Hoc de ordem fixa e de ordem completa são projetados com base em um modelo matemático truncado. Incertezas de modelagem e a presença de modos próximos na região de frequência de interesse dificultam a obtenção de controladores que garantam a estabilidade e um desempenho satisfatório. Para contornar estas dificuldades, usa-se a técnica de controle robusto Hoo e filtros de ponderação. Dessa forma, procura-se minimizar o efeito das incertezas e evitar que modos que não foram considerados durante a fase de projeto dos controladores não sejam excitados, garantido assim a não ocorrência do fenômeno denominado spillover. Controladores Hoo de ordem completa e ordem fixa são implementados na prática e os resultados experimentais são comparados com resultados simulados
Abstract: The implementation of reduced (fixed ) order controllers requires a smaller computational effort and. consequently, less advanced hardware resources in relation to the implementation of full order controllers. This work shows that the practical implementation of fixed order Hoo controllers directed toward the control of flexible structures is viable. Obtaining such controllers is considered a difficult task for being a non-convex problem. To overcome the numerical difficulties of attainment of fixed order controllers, a combination of the Lagrangian method increased with Linear Matrix Inequalities (LMIs) is used. A cantilever beam is modelled with the Finite Element Method. Fixed and full order controllers are designed based on a truncated mathematical model. Modelling uncertainties and the existence of near modes in the frequency range of interest make difficult the attainment of controllers that assure the stability and the performance of the system. To overcome this difficulty, the robust Hoo control and weighing filters are used. In this way, it is desired to minimize the effect of uncertainties and avoid the excitement of non-modelled modes, assuring that the spillover phenomenon does not occur. Full order and fixed order H x controllers are implemented in the practice and the experimental results are compared with the simulated results
Mestrado
Mecanica dos Sólidos e Projeto Mecanico
Mestre em Engenharia Mecânica
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Guida, Mateus Rodrigues. "Método numérico de Matriz Resposta acoplado a um esquema de reconstrução espacial analítica para cálculos unidimensionais de transporte de nêutrons na formulação de ordenadas discretas multigrupo de energia com fonte fixa." Universidade do Estado do Rio de Janeiro, 2011. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=6176.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico
Um método de Matriz Resposta (MR) é descrito para gerar soluções numéricas livres de erros de truncamento espacial para problemas multigrupo de transporte de nêutrons com fonte fixa e em geometria unidimensional na formulação de ordenadas discretas (SN). Portanto, o método multigrupo MR com esquema iterativo de inversão nodal parcial (NBI) converge valores numéricos para os fluxos angulares nas fronteiras das regiões que coincidem com os valores da solução analítica das equações multigrupo SN, afora os erros de arredondamento da aritmética finita computacional. É também desenvolvido um esquema numérico de reconstrução espacial, que fornece a saída para os fluxos escalares de nêutrons em cada grupo de energia em um intervalo qualquer do domínio definido pelo usuário, com um passo de avanço também escolhido pelo usuário. Resultados numéricos são apresentados para ilustrar a precisão do presente método em cálculos de malha grossa.
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Books on the topic "Fixed-matrix"

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Fofack, Hippolyte. A financial social accounting matrix for the integrated macroeconomic model for poverty analysis: Application to Cameroon with a fixed-price multiplier analysis. Washington, D.C: World Bank, 2003.

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Grafarend, Erik. Linear and Nonlinear Models: Fixed effects, random effects, and total least squares. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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A social accounting matrix for Bangladesh economy, 1992-93: A basis for fixed price and flex price models. Dhaka: Centre on Integrated Rural Development for Asia and the Pacific, 1997.

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Majumdar, Satya N. Random growth models. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.38.

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This article discusses the connection between a particular class of growth processes and random matrices. It first provides an overview of growth model, focusing on the TASEP (totally asymmetric simple exclusion process) with parallel updating, before explaining how random matrices appear. It then describes multi-matrix models and line ensembles, noting that for curved initial data the spatial statistics for large time t is identical to the family of largest eigenvalues in a Gaussian Unitary Ensemble (GUE multi-matrix model. It also considers the link between the line ensemble and Brownian motion, and whether this persists on Gaussian Orthogonal Ensemble (GOE) matrices by comparing the line ensembles at fixed position for the flat polynuclear growth model (PNG) and at fixed time for GOE Brownian motions. Finally, it examines (directed) last passage percolation and random tiling in relation to growth models.
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Rajeev, S. G. Vector Fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0001.

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The velocity of a fluid at each point of space-time is a vector field (or flow). It is best to think of it in terms of the effect of fluid flow on some scalar field. A vector field is thus a first order partial differential operator, called the material derivative in fluid mechanics. The path of a speck of dust carried along (advected) by the fluid is the integral curve of the velocity field. Even simple vector fields can have quite complicated integral curves: a manifestation of chaos. Of special interest are incompressible (with zero divergence) and irrotational (with zero curl) flows. A fixed point of a vector field is a point at which it vanishes. The derivative of a vector field at a fixed point is a matrix (the Jacobi matrix) whose spectrum is independent of the choice of coordinates.
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Burda, Zdzislaw, and Jerzy Jurkiewicz. Phase transitions. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.14.

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This article considers phase transitions in matrix models that are invariant under a symmetry group as well as those that occur in some matrix ensembles with preferred basis, like the Anderson transition. It first reviews the results for the simplest model with a nontrivial set of phases, the one-matrix Hermitian model with polynomial potential. It then presents a view of the several solutions of the saddle point equation. It also describes circular models and their Cayley transform to Hermitian models, along with fixed trace models. A brief overview of models with normal, chiral, Wishart, and rectangular matrices is provided. The article concludes with a discussion of the curious single-ring theorem, the successful use of multi-matrix models in describing phase transitions of classical statistical models on fluctuating two-dimensional surfaces, and the delocalization transition for the Anderson, Hatano-Nelson, and Euclidean random matrix models.
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Horing, Norman J. Morgenstern. Q. M. Pictures; Heisenberg Equation; Linear Response; Superoperators and Non-Markovian Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0003.

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Three fundamental and equivalent mathematical frameworks (“pictures”) in which quantum theory can be lodged are exhibited and their relations and relative advantages/disadvantages are discussed: (1) The Schrödinger picture considers the dynamical development of the overall system state vector as a function of time relative to a fixed complete set of time-independent basis eigenstates; (2) The Heisenberg picture (convenient for the use of Green’s functions) embeds the dynamical development of the system in a time-dependent counter-rotation of the complete set of basis eigenstates relative to the fixed, time-independent overall system state, so that the relation of the latter fixed system state to the counter-rotating basis eigenstates is identically the same in the Heisenberg picture as it is in the Schrödinger picture; (3) the Interaction Picture addresses the situation in which a Hamiltonian, H=H0+H1, involves a part H0 whose equations are relatively easy to solve and a more complicated part, H1, treated perturbatively. The Heisenberg equation of motion for operators is discussed, and is applied to annihilation and creation operators. The S-matrix, density matrix and von Neumann equation, along with superoperators and non-Markovian kinetic equations are also addressed (e.g. the intracollisional field effect).
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Beenakker, Carlo W. J. Extreme eigenvalues of Wishart matrices: application to entangled bipartite system. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.37.

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This article describes the application of random matrix theory (RMT) to the estimation of the bipartite entanglement of a quantum system, with particular emphasis on the extreme eigenvalues of Wishart matrices. It first provides an overview of some spectral properties of unconstrained Wishart matrices before introducing the problem of the random pure state of an entangled quantum bipartite system consisting of two subsystems whose Hilbert spaces have dimensions M and N respectively with N ≤ M. The focus is on the smallest eigenvalue which serves as an important measure of entanglement between the two subsystems. The minimum eigenvalue distribution for quadratic matrices is also considered. The article shows that the N eigenvalues of the reduced density matrix of the smaller subsystem are distributed exactly as the eigenvalues of a Wishart matrix, except that the eigenvalues satisfy a global constraint: the trace is fixed to be unity.
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Muller, Sebastian, and Martin Sieber. Resonance scattering of waves in chaotic systems. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.34.

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This article discusses some applications of random matrix theory (RMT) to quantum or wave chaotic resonance scattering. It first provides an overview of selected topics on universal statistics of resonances and scattering observables, with emphasis on theoretical results obtained via non-perturbative methods starting from the mid-1990s. It then considers the statistical properties of scattering observables at a given fixed value of the scattering energy, taking into account the maximum entropy approach as well as quantum transport and the Selberg integral. It also examines the correlation properties of the S-matrix at different values of energy and concludes by describing other characteristics and applications of RMT to resonance scattering of waves in chaotic systems, including those relating to time delays, quantum maps and sub-unitary random matrices, and microwave cavities at finite absorption.
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Campbell, John, Joey Huston, and Frank Krauss. QCD to All Orders. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199652747.003.0005.

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This chapter centres around the treatment of QCD emissions to all orders. After introductory remarks about the analytic properties of the radiation pattern, some of the most striking phenomenological consequences of non-trivial quantum effects, in particular, the angular ordering property of QCD, are highlighted. Next, analytic resummation techniques are considered, expanding on the treatment of transverse momentum resummation from Chapter 2, and introducing the idea of threshold resummation. BFKL resummation, which resums large logarithms emerging in the high-energy limit, is also introduced. In the second part of this chapter, the probabilistic simulation of QCD radiation through the parton shower is discussed. After a detailed introduction to different schemes and algorithms, the discussion of the combination of the parton shower with fixed-order matrix elements beyond the Born approximation is considered, with a discussion of matching with NLO calculations and the merging with multijet matrix elements.
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Book chapters on the topic "Fixed-matrix"

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Pflug, W., B. Eberspächer, C. Karl, and W. Bruder. "PCR on Reusable Matrix-Fixed DNA." In Advances in Forensic Haemogenetics, 372–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-78782-9_100.

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Chadan, K., P. C. Sabatier, and R. G. Newton. "Potentials from the Scattering Amplitude at Fixed Energy: Matrix Methods." In Inverse Problems in Quantum Scattering Theory, 195–213. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83317-5_12.

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Hobson, Stephen, and Jim Austin. "Improved Storage Capacity in Correlation Matrix Memories Storing Fixed Weight Codes." In Artificial Neural Networks – ICANN 2009, 728–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04274-4_75.

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Neffelli, Marco, and Marina Resta. "A Comparison of Estimation Techniques for the Covariance Matrix in a Fixed-Income Framework." In New Methods in Fixed Income Modeling, 99–115. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95285-7_6.

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Garajová, Elif, Milan Hladík, and Miroslav Rada. "On the Properties of Interval Linear Programs with a Fixed Coefficient Matrix." In Springer Proceedings in Mathematics & Statistics, 393–401. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67308-0_40.

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Chaber, Patryk. "Implementation of Dynamic Matrix Control Algorithm Using a Microcontroller with Fixed-Point Arithmetic." In Challenges in Automation, Robotics and Measurement Techniques, 51–61. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29357-8_5.

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Jiang, Jiaojiao, Haibin Zhang, and Shui Yu. "A Novel Monotonic Fixed-Point Algorithm for l 1-Regularized Least Square Vector and Matrix Problem." In Communications in Computer and Information Science, 476–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25002-6_67.

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Johnston, Stuart T., Christopher N. Angstmann, Satya N. V. Arjunan, Casper H. L. Beentjes, Adrien Coulier, Samuel A. Isaacson, Ash A. Khan, Karen Lipkow, and Steven S. Andrews. "Accurate Particle-Based Reaction Algorithms for Fixed Timestep Simulators." In 2018 MATRIX Annals, 149–64. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38230-8_11.

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Surya, Budhi A. "Parisian Excursion Below a Fixed Level from the Last Record Maximum of Lévy Insurance Risk Process." In 2017 MATRIX Annals, 311–26. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04161-8_21.

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Klein, Lawrence A. "Appendix: The Fundamental Matrix of a Fixed Continuous-Time System." In Sensor and Data Fusion for Intelligent Transportation Systems. SPIE, 2019. http://dx.doi.org/10.1117/3.2525400.ap1.

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Conference papers on the topic "Fixed-matrix"

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Shah, Ramesh K., and Teodor Skiepko. "MODELING OF LEAKAGES IN FIXED-MATRIX REGENERATORS." In International Heat Transfer Conference 11. Connecticut: Begellhouse, 1998. http://dx.doi.org/10.1615/ihtc11.1600.

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Ingemarsson, Carl, and Oscar Gustafsson. "On fixed-point implementation of symmetric matrix inversion." In 2015 European Conference on Circuit Theory and Design (ECCTD). IEEE, 2015. http://dx.doi.org/10.1109/ecctd.2015.7300068.

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Boudaoui, Ahmed, and Noura Laksaci. "Some Fixed-Point Theorems for Block Operator Matrix." In 2020 2nd International Conference on Mathematics and Information Technology (ICMIT). IEEE, 2020. http://dx.doi.org/10.1109/icmit47780.2020.9047010.

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Lee, Tzung-Lin, Chun-Yao Hung, Yen-Wen Chen, and Wen-Mei Huang. "Fixed Slope Carrier PWM for Indirect Matrix Converter." In 2018 International Power Electronics Conference (IPEC-Niigata 2018-ECCE Asia). IEEE, 2018. http://dx.doi.org/10.23919/ipec.2018.8507638.

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Schafer, Michael, Bjorn Stallenberger, Jonathan Pfaff, Philipp Helle, Heiko Schwarz, Detlev Marpe, and Thomas Wiegand. "Efficient Fixed-Point Implementation Of Matrix-Based Intra Prediction." In 2020 IEEE International Conference on Image Processing (ICIP). IEEE, 2020. http://dx.doi.org/10.1109/icip40778.2020.9190883.

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Jianfeng Chen, L. Shue, and Senjin Liu. "A fixed blocking matrix for robust microphone array beamforming." In Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings. IEEE, 2003. http://dx.doi.org/10.1109/isspa.2003.1224900.

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Wu, Chih-Wei, and Alexander Lerch. "Drum transcription using partially fixed non-negative matrix factorization." In 2015 23rd European Signal Processing Conference (EUSIPCO). IEEE, 2015. http://dx.doi.org/10.1109/eusipco.2015.7362590.

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Stojanovic, N. M., I. Z. Milovanovic, M. K. Stojcev, and E. I. Milovanovic. "Matrix-vector Multiplication on a Fixed Size Unidirectional Systolic Array." In 2007 8th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services. IEEE, 2007. http://dx.doi.org/10.1109/telsks.2007.4376040.

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Fujiwara, H., and K. Nakagawa. "Phase Conjugation By Methylred Fixed In Gelatin Or Pmma Matrix." In 14th Congress of the International Commission for Optics, edited by Henri H. Arsenault. SPIE, 1987. http://dx.doi.org/10.1117/12.967217.

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Moati, Yahia, Kouzi Katia, and Khalil Mokhtari. "Fixed Switching DTC of DSIM Powered by NPC-Matrix Converter." In 2019 1st International Conference on Sustainable Renewable Energy Systems and Applications (ICSRESA). IEEE, 2019. http://dx.doi.org/10.1109/icsresa49121.2019.9182698.

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Reports on the topic "Fixed-matrix"

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BOGER, R. M. Design compliance matrix waste sample container filling system for nested, fixed-depth sampling system. Office of Scientific and Technical Information (OSTI), September 1999. http://dx.doi.org/10.2172/798023.

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